Solved: A mass weighing 24 pounds stretches a spring 4 feet. The subsequent motion takes
Chapter 3, Problem 28(choose chapter or problem)
A mass weighing 24 pounds stretches a spring 4 feet. The subsequent motion takes place in a medium that offers a damping force numerically equal to /3 (/3 > 0) times the instantaneous velocity. If the mass is initially released from the equilibrium position with an upward velocity of 2 ft/s, show that when f3 > 3 v'2 the equation of motion is -3 2'\/ x(t) = e -2fk/3 sinh - 132 -18 t.
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